Answer:
x = 10
y = 13
Step-by-step explanation:
A line perpendicular to y = -2x + 5 will have an equation in the form of:
y = (1/2)x + b
Since the graph must intersect (-2,9), we plug in this point to solve for b.
9 = (1/2)*(-2) + b
9 = -1 + b
10 = b
So the equation is:
y = (1/2)x + 10
The answer is A.
The graph is a straight line graph with a slope of -1/2
Equation of a line in point-slope form
The equation of a line in point slope form is expressed as:
y - y₁ = m(x - x₁)
Given the following parameters
Point = (-2, 3)
Slope = -1/2
Substitute the given parameters into the formula
y-3 = -1/2(x-(-2))
y-3 = -1/2(x+2)
Write in slope-intercept form
2(y-3) = -(x+2)
2y-2(3) = -x -2
2y - 6 = -x -2
2y = -x + 4
y = -1/2x + 2
The graph of the equation is as shown below
Learn more on equation of a line here: brainly.com/question/18831322
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Answer:
x= -8
collect like term than divide both sides
6x-4x = -20+4
2x= -20+4
2x=-16
x= -8